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3×3 Matrix Calculator

All-in-one 3×3 matrix calculator: determinant, inverse, transpose, trace and rank of a three-by-three matrix.

Enter values

Results update as you type.

Result

Determinant

4

Inverse
[ 0.75 0.5 0.25 ] [ 0.5 1 0.5 ] [ 0.25 0.5 0.75 ]
Transpose
[ 2 -1 0 ] [ -1 2 -1 ] [ 0 -1 2 ]
Trace
6
Rank
3

About the 3×3 Matrix Calculator

All-in-one 3×3 matrix calculator: determinant, inverse, transpose, trace and rank of a three-by-three matrix.

Also known as: 3x3 matrix, 3 by 3 matrix, 3x3 determinant, 3x3 inverse.

How to use this calculator

  1. Enter 3×3 matrix.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

det via cofactor expansion / row reduction

Worked example

Using the values pre-filled in the calculator above:

  • 3×3 matrix: 2 -1 0 -1 2 -1 0 -1 2

the calculator returns:

  • Determinant: 4
  • Inverse: [ 0.75 0.5 0.25 ] [ 0.5 1 0.5 ] [ 0.25 0.5 0.75 ]
  • Transpose: [ 2 -1 0 ] [ -1 2 -1 ] [ 0 -1 2 ]
  • Trace: 6